Least Common Multiple (LCM) of 186 and 199
The least common multiple (LCM) of 186 and 199 is 37014.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 186 and 199?
First, calculate the GCD of 186 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 199 = 0 remainder 186 |
| 2 | 199 ÷ 186 = 1 remainder 13 |
| 3 | 186 ÷ 13 = 14 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 144 | 6768 |
| 40 and 194 | 3880 |
| 151 and 76 | 11476 |
| 44 and 183 | 8052 |
| 188 and 92 | 4324 |